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Using the fact that the total number of enquiries is $5$, carry out the test at the $2.5\%$ significance level.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
Earlier, the number of enquiries per minute at a customer service desk was represented by a random variable with distribution $\mathrm{Po}(0.31)$. After the desk was repositioned, the mean number of enquiries per minute is expected to rise. To check whether this has happened, the total number of enquiries in a randomly selected 5-minute interval is recorded. Assume that a Poisson model is still appropriate.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write down the hypotheses: $H_0:\lambda=1.55$ and $H_1:\lambda>1.55$.” …
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